考虑滑动轴承时变动力学参数的齿轮系统建模及分析

Gear system modeling considering sliding bearings’ time-varying dynamic parameters

为了对齿轮系统进行更加深入的研究,综合考虑时变轴承动力学参数以及动态齿侧间隙的影响,建立了齿轮系统动力学模型并进行了振动响应分析。以圆柱直齿轮为研究对象,将动压润滑轴承模型与齿轮啮合模型相结合,并计入动态齿侧间隙的影响,建立了系统的动力学微分方程。提出了一种齿轮-滑动轴承耦合系统的求解方法,分别研究了轴承间隙、齿侧间隙以及转速对系统振动响应的影响。结果表明:滑动轴承动力学参数的时变特性有助于改善系统的振动响应;在一定范围内增加轴承间隙以及齿侧间隙可以减小齿轮动态啮合力以及径向振动;随着齿轮转频的增加,系统的振动响应幅值减小,运动趋于平稳。

In order to study a gear system more deeply,considering its bearings’time-varying dynamic parameters and effects of its dynamic gear backlash,its dynamic model was established to analyze its vibration responses.A cylindrical spur gear system was taken as the study object.A dynamic pressure lubricated bearing model was combined with a gears’meshing one,considering effects of dynamic gear backlash,the gear system’s dynamic equations were established.Here,a method to solve a gear-sliding bearing coupled system was proposed.Effects of bearing clearance,backlash and rotating speed on the system’s vibration responses were studied.The results showed that sliding bearing dynamic parameters’time-varying characteristics are helpful to improve the system’s vibration responses;increasing bearing clearance and gear backlash within a certain range can reduce gears’dynamic meshing force and radial vibration;with increase in gear rotating frequency,the system’s vibration response amplitudes decrease and its motion tends to be stable.